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Recognize Fractions Equivalent to Whole Numbers

Students will identify fractions that are equivalent to whole numbers, such as 2/2 = 1, 4/2 = 2, 6/3 = 2, and 8/4 = 2. They will locate these fractions on a number line beyond 0 to 1 and explain their reasoning using the idea that the fraction represents a complete number of wholes.

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Recognize Fractions Equivalent to Whole Numbers

Grade 3 · Equivalent Fractions · question 1 of 3

0 of 12

12 rungs. A star at the top.

05N

Read dot N: 12/3 is which whole number?

Only the ends are labeled.

How it is taught

0:00 of 3:07

Some fractions name a whole number.

Filled equal parts can make one or more wholes.

Read it: Wholes as fractions

3 whole bars, each cut into halves, make 6 halves. So 3 = 6/2.

  1. Cut each whole into the same equal pieces.
  2. Count the pieces of all the wholes: 6 halves.
  3. Write the count over the cut: 3 = 6/2.

Cutting a whole does not change how much there is.

Each whole is 2 halves, so 3 wholes are 6 halves.

A whole that is not cut is 1 piece, so 3 = 3/1.

A whole number is a fraction too: count the equal pieces of every whole.

Writing 3/6, because there are 3 bars and 6 pieces.

6/2 means 6 halves. 2 halves fill each bar, so 6/2 = 3.

16/4 = ___ — 4. Every 4 fourths make 1 whole: 16 ÷ 4 = 4.

4/2 = 2

Some fractions are really whole numbers in disguise. Let's see how four halves equals two.

Here's one whole bar split into two halves. Two halves make one whole.

Here's a second whole bar, also split into two halves.

Together we have four halves shaded in.

We can write four halves as the fraction four over two.

The bottom number, two, says each whole is split into two pieces.

When does a fraction equal a whole number?22 = 1 whole22 = 1 whole1, 2, 3, 4 halves shaded!42halves on the bottom · 4 of them on topNumber line in halves02121324242 lands exactly on 2ANSWER42 = 2whole number!
Grade 3 · Some fractions are really just whole numbers in disguise

Now let's find four halves on a number line that goes past one.

We hop one half at a time: one half, two halves, three halves, four halves.

Four halves lands right on the number two.

So four halves equals two. Some fractions are whole numbers in disguise!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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